6829
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6830
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6828
- Möbius Function
- -1
- Radical
- 6829
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 879
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=1A031832
- Numbers with exactly five distinct base-9 digits.at n=33A031986
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=30A033316
- Denominators of continued fraction convergents to sqrt(772).at n=12A042489
- Numbers having three 5's in base 8.at n=35A043443
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=18A054824
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=50A070281
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=25A070934
- Expansion of 1/(1-2*x-3*x^2-2*x^3).at n=8A077833
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=25A082244
- Indices k where A057176(k) = 4.at n=19A086838
- Sum of primes <= p is even and sum is twice a prime.at n=35A089894
- Primes which are also prime if their base 31 representation is interpreted as a base 10 number.at n=33A090715
- Primes arising as the arithmetic mean of first n terms of A090918.at n=41A090919
- Primes p such that the sum of the digits of p is not prime, but the sum of each digit raised to the 4th power is prime.at n=3A091368
- Trace sequence of a path graph plus loop.at n=15A096975
- Least solution to the Pellian equation x^2 - k*y^2 = 1 (A002349) such that 2^2^n < y <= 2^2^(n+1).at n=10A099194
- Primes with digit sum = 25.at n=29A106763
- Number of spiro bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=9A121160
- Numbers k such that (13^k + 5^k)/18 is prime.at n=10A128342